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    Stability and Trajectories Analysis of a Fractional Generalization of Simple Pendulum Dynamic Equation

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    IEEE_ECC_2019.pdf
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    Description:
    Accepted manuscript
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    Type
    Conference Paper
    Authors
    Ndoye, Ibrahima
    Kirati, Taous-Meriem Laleg
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Date
    2019-08-15
    Online Publication Date
    2019-08-15
    Print Publication Date
    2019-06
    Permanent link to this record
    http://hdl.handle.net/10754/656576
    
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    Abstract
    In this paper, we present the dynamics of the simple pendulum by using the fractional-order derivatives. Equations of motion are proposed for cases without input and external forcing. We use the fractional-order Euler-Lagrange equations to obtain the fractional-order dynamic equation of the simple pendulum. We perform equilibria analysis, indicate the conditions where stability dynamics can be observed for both integer and fractional-order models. Finally, phase diagrams have been plotted to visualize the effect of the fractional-order derivatives.
    Citation
    N’Doye, I., & Kirati, T.-M. L. (2019). Stability and Trajectories Analysis of a Fractional Generalization of Simple Pendulum Dynamic Equation. 2019 18th European Control Conference (ECC). doi:10.23919/ecc.2019.8795821
    Sponsors
    The research reported herein is supported by the King Abdullah University of Science and Technology (KAUST).
    Publisher
    IEEE
    Conference/Event name
    2019 18th European Control Conference (ECC)
    DOI
    10.23919/ecc.2019.8795821
    Additional Links
    https://ieeexplore.ieee.org/document/8795821/
    ae974a485f413a2113503eed53cd6c53
    10.23919/ecc.2019.8795821
    Scopus Count
    Collections
    Conference Papers; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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